The conditions satisfies the criteria for rhombi is ; m∠BEC = 90°. So option C is the correct answer.
What is a rhombus?
Its a parallelogram but all sides of same length.
Rhombus is a parallelogram whose all sides are of equal lengths.
The properties of a rhombus:
Its diagonals are perpendicular to each other and they cut each other in half( thus, they're perpendicular bisector of each other).
Its vertex angles are bisected by its diagonals.
The triangles on either side of the diagonals are isosceles and congruent.
It is given that Parallelogram rhombus ABCD with diagonals BD and AC intersecting at E.
Since, The diagonals bisect the angles and The diagonals are perpendicular bisectors of each other.
Therefore, The conditions satisfies the criteria for rhombi is option C; m∠BEC = 90°. So option C is the correct answer.
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